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Finding the Fourth Proportional to 25.84, 38.74 and 9.57

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Solution

The fourth proportional to 25.84, 38.74 and 9.57 is: 14.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.84 : 38.74 = 9.57 : x
  2. Step 2: Convert to fraction form
    25.84/38.74 = 9.57/x
  3. Step 3: Cross multiply
    25.84x = 38.74 × 9.57
  4. Step 4: Simplify right side
    25.84x = 370.84
  5. Step 5: Solve for x
    x = 370.84/25.84
  6. Step 6: Final answer
    x = 14.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.